Stefan Keppeler

Publications

Theses

S. Keppeler
Semiklassik für Dirac-Teilchen
Diplomarbeit, Universität Ulm, September 1998 (in German)
(Zusammenfassung/abstract)
S. Keppeler
Spinning particles: Semiclassical quantisation and spectral statistics
Doktorarbeit, Universität Ulm, April 2002
(summary) -- see also Book

Book

S. Keppeler
Spinning Particles: Semiclassics and Spectral Statistics
Spinger Tracts in Modern Physics, vol. 193
Springer-Verlag Berlin Heidelberg, 2003 (online version)

Papers (preprints may differ slightly from published version)

J. Bolte and S. Keppeler
Semiclassical Time Evolution and Trace Formula for Relativistic Spin-½ Particles
Phys. Rev. Lett. 81 (1998) 1987-1991
doi:10.1103/PhysRevLett.81.1987
arXiv:quant-ph/9805041 (May 1998)
J. Bolte and S. Keppeler
A Semiclassical Approach to the Dirac Equation
Ann. Phys. (NY) 274 (1999) 125-162
doi:10.1006/aphy.1999.5912
arXiv:quant-ph/9811025 (November 1998)
J. Bolte and S. Keppeler
Semiclassical form factor for chaotic systems with spin ½
J. Phys. A 32 (1999) 8863-8880
doi:10.1088/0305-4470/32/50/307
arXiv:chao-dyn/9909026, HPL-BRIMS-1999-06 (September 1999)
S. Keppeler
Two-point correlations of the Gaussian symplectic ensemble from periodic orbits
J. Phys. A 33 (2000) L503-L507
doi:10.1088/0305-4470/33/50/102
arXiv:nlin/0009041 (September 2000)
S. Keppeler, J. Marklof and F. Mezzadri
Quantum cat maps with spin ½
Nonlinearity 14 (2001) 719-738
doi:10.1088/0951-7715/14/4/304
arXiv:nlin/0012012 (December 2000)
S. Keppeler
Level spacings and periodic orbits
Phys. Rev. E 64 (2001) 027201
doi:10.1103/PhysRevE.64.027201
arXiv:nlin/0012038 (December 2000, revised version April 2001)
J. Bolte, R. Glaser and S. Keppeler
Quantum and classical ergodicity of spinning particles
Ann. Phys. (NY) 293 (2001) 1-14
doi:10.1006/aphy.2001.6164
arXiv:nlin/0101022 (January 2001)
G. Haag and S. Keppeler
Parabolic maps with spin: Generic spectral statistics with non-mixing classical limit
Nonlinearity 15 (2002) 65-88
doi:10.1088/0951-7715/15/1/304
arXiv:nlin/0106042 (June 2001)
S. Keppeler and R. Winkler
Anomalous Magneto-oscillations and Spin Precession
Phys. Rev. Lett. 88 (2002) 046401
doi:10.1103/PhysRevLett.88.046401
arXiv:cond-mat/0110353 (July 2001, revised version October 2001)
S. Keppeler
Torus quantization for spinning particles
Phys. Rev. Lett. 89 (2002) 210405
doi:10.1103/PhysRevLett.89.210405
arXiv:quant-ph/0207095 (July 2002)
J. Bolte, R. Glaser and S. Keppeler
Comment on: "Semiclassical theory of spin-orbit interactions using spin coherent states"
arXiv:nlin/0208031 (August 2002)
S. Keppeler
Semiclassical quantisation rules for the Dirac and Pauli equations
Ann. Phys. (NY) 304 (2003) 40-71
doi:10.1016/S0003-4916(03)00007-1
arXiv:quant-ph/0212082 (December 2002)
S. Keppeler
Die "alte" Quantentheorie, Spinpräzession und geometrische Phasen
Physik Journal 3 (April 2004) 45-49 (abstract and paper)
preprint (February 2004)
T. Guhr and S. Keppeler
Semiclassical limits for the QCD Dirac operator
Ann. Phys. (NY) 322 (2007) 287-314
doi:10.1016/j.aop.2006.09.010
arXiv:math-ph/0601065 (June 2005, revised version January 2006)
M. Panero, F. Bruckmann, S. Keppeler and T. Wettig
Polyakov loops and SU(2) staggered Dirac spectra
PoS LAT2007 (2007) 274 (paper)
arXiv:0802.0662 (February 2008)
F. Bruckmann, S. Keppeler, M. Panero and T. Wettig
Polyakov loops and spectral properties of the staggered Dirac operator
Phys. Rev. D 78 (2008) 034503
doi:10.1103/PhysRevD.78.034503
arXiv:0804.3929 (April 2008)
S. Keppeler and M. Sjödahl
Orthogonal multiplet bases in SU(N_c) color space
JHEP 2012 (2012) 124
doi:10.1007/JHEP09(2012)124
arXiv:1207.0609 (July 2012)
J. Bolte and S. Keppeler
Heat kernel asymptotics for magnetic Schrödinger operators
J. Math. Phys. 54 (2013) 112104
doi:10.1063/1.4829061
arXiv:1305.4106 (May 2013)
S. Keppeler
Bohrsches Atommodell damals und heute
Physik in unserer Zeit 44 (2013) 159
doi:10.1002/piuz.201390060
M. Sjödahl and S. Keppeler
Tools for calculations in color space
PoS DIS2013 (2013) 166 (paper)
arXiv:1307.1319 (July 2013)
S. Keppeler and M. Sjödahl
Hermitian Young operators
J. Math. Phys. 55 (2014) 021702
doi:10.1063/1.4865177"
arXiv:1307.6147 (July 2013)
S. Keppeler and M. Sieber
Particle creation and annihilation at interior boundaries: one-dimensional models
J. Phys. A 49 (2016) 125204
doi:10.1088/1751-8113/49/12/125204
arXiv:1511.03071 (November 2015)
J. Bolte, S. Egger and S. Keppeler
A Gutzwiller trace formula for large hermitian matrices
Rev. Math. Phys. 29 (2017) 1750027
doi:10.1142/S0129055X17500271
arXiv:1512.05984 (December 2015)
J. Bolte, S. Egger and S. Keppeler
The Berry-Keating operator on a lattice
J. Phys. A 50 (2017) 105201
doi:10.1088/1751-8121/aa5844
arXiv:1610.06472, OWP 2016 - 23 (October 2016)
S. Keppeler
Goals emerge in macroscopic descriptions of the world
Contribution to the FQXi essay contest Wandering towards a goal: How can mindless mathematical laws give rise to aims and intention? (February 2017)
S. Keppeler
Birdtracks for SU(N)
Lecture notes for the QCD Master Class 2017, Saint-Jacut-de-la-Mer, 18-24 Jun 2017
SciPost Phys. Lect. Notes 3 (2018)
doi:10.21468/SciPostPhysLectNotes.3
arXiv:1707.07280 (July 2017)
C. Cederbaum and S. Keppeler
Service Learning im Lehramtsstudium Mathematik: Studierende unterrichten Flüchtlinge
Tübinger Beiträge zur Hochschuldidaktik 15/1 (2019) 58-61
doi:10.15496/publikation-28659
J. Alcock-Zeilinger, S. Keppeler, S. Plätzer and M. Sjödahl
Wigner 6j symbols for SU(N): Symbols with at least two quark-lines
J. Math. Phys. 64 (2023) 023504
doi:10.1063/5.0131538
arXiv:2209.15013 (October 2022)
S. Keppeler, S. Plätzer and M. Sjödahl
Wigner 6j symbols with gluon lines: completing the set of 6j symbols required for color decomposition
JHEP 2024 (2024) 51
doi:10.1007/JHEP05(2024)05
arXiv:2312.16688 (December 2023)
S. Keppeler, M. Sjödahl and B. Telalovic
An N-independent tensor decomposition for SU(N)
arXiv:2507.22981 (August 2025)

See also my preprints at arXiv.org or my publications at Google Scholar.

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Last modified: 1 Aug 2025

Stefan Keppeler (firstname.lastname@uni-tuebingen.de)